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Finding the Third Proportional to 152.06 and 210.94

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Solution

The third proportional to 152.06 and 210.94 is: 292.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.06 : 210.94 = 210.94 : x
  2. Step 2: Convert to fraction form
    152.06/210.94 = 210.94/x
  3. Step 3: Cross multiply
    152.06x = 210.94 × 210.94
  4. Step 4: Simplify right side
    152.06x = 44,494.63
  5. Step 5: Solve for x
    x = 44,494.63/152.06
  6. Step 6: Final answer
    x = 292.61

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.